9780131869790

0131869795

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Summary

Normal 0 false false false MicrosoftInternetExplorer4 John Tobey and Jeff Slater are experienced developmental math authors and active classroom teachers. The Tobey approach focuses on building skills one at a time by breaking math down into manageable pieces. This building block organization is a practical approach to basic math skill development that makes it easier for students to understand each topic, gaining confidence as they move through each section. Knowing students crave feedback, Tobey has enhanced the new edition with a "How am I Doing?" guide to math success. The combination of continual reinforcement of basic skill development, ongoing feedback and a fine balance of exercises makes the first edition of Tobey/Slater Beginning Algebra: Early Graphing even more practical and accessible. Prealgebra Review; Real Numbers and Variables; Equations, Inequalities, and Applications; Graphing and Functions; Systems of Equations; Exponents and Polynomials; Factoring; Rational Expressions and Equations; Radicals; Quadratic Equations For all readers interested in algebra.

Table of Contents

To the Student

i

Preface

xv

Acknowledgments

xxi

Diagnostic Pretest

xxv

Prealgebra Review

1

(58)

Simplifying Fractions

2

(9)

Adding and Subtracting Fractions

11

(11)

Multiplying and Dividing Fractions

22

(9)

How Am I Doing? Sections 0.1--0.3

30

(1)

Using Decimals

31

(11)

Percents, Rounding, and Estimating

42

(17)

Chapter 0 Organizer

53

(2)

Chapter 0 Review Problems

55

(2)

How Am I Doing? Chapter 0 Test

57

(2)

Real Numbers and Variables

59

(66)

Adding Real Numbers

60

(11)

Subtracting Real Numbers

71

(5)

Multiplying and Dividing Real Numbers

76

(10)

Exponents

86

(4)

The Order of Operations

90

(5)

How Am I Doing? Sections 1.1--1.5

94

(1)

Using the Distributive Property to Simplify Algebraic Expressions

95

(5)

Combining Like Terms

100

(5)

Using Substitution to Evaluate Algebraic Expressions and Formulas

105

(8)

Grouping Symbols

113

(12)

Chapter 1 Organizer

118

(1)

Chapter 1 Review Problems

119

(4)

How Am I Doing? Chapter 1 Test

123

(2)

Equations, Inequalities, and Applications

125

(78)

The Addition Principle of Equality

126

(6)

The Multiplication Principle of Equality

132

(6)

Using the Addition and Multiplication Principles Together

138

(7)

Solving Equations with Fractions

145

(9)

How Am I Doing? Sections 2.1--2.4

153

(1)

Translating English Phrases into Algebraic Expressions

154

(6)

Using Equations to Solve Word Problems

160

(9)

Solving Word Problems Using Geometric Formulas

169

(12)

Solving Inequalities in One Variable

181

(22)

Chapter 2 Organizer

193

(2)

Chapter 2 Review Problems

195

(5)

How Am I Doing? Chapter 2 Test

200

(2)

Cumulative Test for Chapters 0--2

202

(1)

Graphing and Functions

203

(68)

The Rectangular Coordinate System

204

(12)

Graphing Linear Equations

216

(10)

The Slope of a Line

226

(13)

How Am I Doing? Sections 3.1--3.3

237

(2)

Writing the Equation of a Line

239

(4)

Graphing Linear Inequalities

243

(5)

Functions

248

(23)

Chapter 3 Organizer

260

(2)

Chapter 3 Review Problems

262

(5)

How Am I Doing? Chapter 3 Test

267

(2)

Cumulative Test for Chapters 0--3

269

(2)

Systems of Equations

271

(46)

Solving a System of Equations in Two Variables by Graphing

272

(8)

Solving a System of Equations in Two Variables by the Substitution Method

280

(6)

Solving a System of Equations in Two Variables by the Addition Method

286

(9)

How Am I Doing? Sections 4.1--4.3

294

(1)

Review of Methods for Solving Systems of Equations

295

(5)

Solving Word Problems Using Systems of Equations

300

(17)

Chapter 4 Organizer

309

(2)

Chapter 4 Review Problems

311

(4)

How Am I Doing? Chapter 4 Test

315

(1)

Cumulative Test for Chapters 0--4

316

(1)

Exponents and Polynomials

317

(52)

The Rules of Exponents

318

(9)

Negative Exponents and Scientific Notation

327

(7)

Fundamental Polynomial Operations

334

(7)

How Am I Doing? Sections 5.1--5.3

340

(1)

Multiplying Polynomials

341

(6)

Multiplication: Special Cases

347

(7)

Dividing Polynomials

354

(15)

Chapter 5 Organizer

362

(1)

Chapter 5 Review Problems

363

(4)

How Am I Doing? Chapter 5 Test

367

(1)

Cumulative Test for Chapters 0--5

368

(1)

Factoring

369

(52)

Removing a Common Factor

370

(5)

Factoring by Grouping

375

(5)

Factoring Trinomials of the Form x2 + bx + c

380

(7)

Factoring Trinomials of the Form ax2 + bx + c

387

(7)

How Am I Doing? Sections 6.1--6.4

393

(1)

Special Cases of Factoring

394

(6)

A Brief Review of Factoring

400

(4)

Solving Quadratic Equations by Factoring

404

(17)

Chapter 6 Organizer

414

(1)

Chapter 6 Review Problems

415

(4)

How Am I Doing? Chapter 6 Test

419

(1)

Cumulative Test for Chapters 0--6

420

(1)

Rational Expressions and Equations

421

(50)

Simplifying Rational Expressions

422

(6)

Multiplying and Dividing Rational Expressions

428

(5)

Adding and Subtracting Rational Expressions

433

(9)

How Am I Doing? Sections 7.1--7.3

441

(1)

Simplifying Complex Rational Expressions

442

(5)

Solving Equations Involving Rational Expressions

447

(5)

Ratio, Proportion, and Other Applied Problems

452

(19)

Chapter 7 Organizer

462

(2)

Chapter 7 Review Problems

464

(5)

How Am I Doing? Chapter 7 Test

469

(1)

Cumulative Test for Chapters 0--7

470

(1)

Radicals

471

(52)

Square Roots

472

(5)

Simplifying Radical Expressions

477

(5)

Adding and Subtracting Radical Expressions

482

(4)

Multiplying Radical Expressions

486

(6)

How Am I Doing? Sections 8.1--8.4

491

(1)

Dividing Radical Expressions

492

(6)

The Pythagorean Theorem and Radical Equations

498

(8)

Word Problems Involving Radicals: Direct and Inverse Variation

506

(17)

Chapter 8 Organizer

516

(1)

Chapter 8 Review Problems

517

(4)

How Am I Doing? Chapter 8 Test

521

(1)

Cumulative Test for Chapters 0--8

522

(1)

Quadratic Equations

523

(48)

Introduction to Quadratic Equations

524

(8)

Using the Square Root Property and Completing the Square to Find Solutions